Electron. J. Diff. Equ., Vol. 2013 (2013), No. 20, pp. 1-7.

Blow-up solutions for a nonlinear wave equation with porous acoustic boundary conditions

Shun-Tang Wu

Abstract:
We study a nonlinear wave equation with porous acoustic boundary conditions in a bounded domain. We prove a finite time blow-up for certain solutions with positive initial energy.

Submitted August 28, 2012. Published January 23, 2013.
Math Subject Classifications: 35L70, 35B40.
Key Words: Blow-up; acoustic boundary conditions; exponential growth.

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Shun-Tang Wu
General Education Center
National Taipei University of Technology
Taipei, 106, Taiwan
email: stwu@ntut.edu.tw

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